The geographic and magnetic north poles have different locat

The geographic and magnetic north poles have different locations. Currently, the magnetic north pole is drifting westward through 0.0017 radian per year, where the angle of drift has its vertex at the center of Earth. If this movement continues, approximately how many years will it take for the magnetic north pole to drift a total of 6°? (Round your answer to one decimal place.)

Solution

Since the movement of the pole is given in radians, we should figure out how many radians are in 6 degress:

1 degree =/180 radians. So 6 degrees = 6( /180) = /30 radians.

So now the problem is to find out how long it will take to pole to move radians if it moves 0.0017 radians per year. So we will divide:
(/30 )* (1/0.0017)

simplify this , we will get around 61.56

so approximatly it takes 62 years